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Finding the Fourth Proportional to 560,273.94, 840,297.51 and 205,166.70

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Solution

The fourth proportional to 560,273.94, 840,297.51 and 205,166.70 is: 307,708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,273.94 : 840,297.51 = 205,166.70 : x
  2. Step 2: Convert to fraction form
    560,273.94/840,297.51 = 205,166.70/x
  3. Step 3: Cross multiply
    560,273.94x = 840,297.51 × 205,166.70
  4. Step 4: Simplify right side
    560,273.94x = 172,401,067,144.92
  5. Step 5: Solve for x
    x = 172,401,067,144.92/560,273.94
  6. Step 6: Final answer
    x = 307,708.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.